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Finding the Third Proportional to 2,585 and 3,965

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Solution

The third proportional to 2,585 and 3,965 is: 6,081.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585 : 3,965 = 3,965 : x
  2. Step 2: Convert to fraction form
    2,585/3,965 = 3,965/x
  3. Step 3: Cross multiply
    2,585x = 3,965 × 3,965
  4. Step 4: Simplify right side
    2,585x = 15,721,225
  5. Step 5: Solve for x
    x = 15,721,225/2,585
  6. Step 6: Final answer
    x = 6,081.71

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.